A STUDY ON A RULED SURFACE WITH LIGHTLIKE RULING FOR A NULL CURVE WITH CARTAN FRAME


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AYYILDIZ N. , Turhan T.

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, cilt.49, ss.635-645, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 49 Konu: 3
  • Basım Tarihi: 2012
  • Doi Numarası: 10.4134/bkms.2012.49.3.635
  • Dergi Adı: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
  • Sayfa Sayısı: ss.635-645

Özet

In this study, we investigate the curvature functions of ruled surface with lightlike ruling for a null curve with Cartan frame in Minkowski 3-space. Also, we give relations between the curvature functions of this ruled surface and curvature functions of central normal surface. Finally, we use the curvature theory of the ruled surface for determine differential properties of a robot end-effector motion.